Computational Hydraulics
Topics
Modeling,
Numerical Model and Protocol of Numerical Simulation
Characteristics
for Partial differential Equations
Finite
Difference Approximations
Truncation errors, Consistency, Stability
Diffusion
Equation
Alternating Direction Method
Advection
Equation
Advection-Dispersion
Equation
Open
Channel Flow
Variably
Saturated Flow
Finite
Element Approximations
Groundwater
Flow
Boundary
Element Method
Assessment
Exercises and Projects: 60%
Final exam: 40%
Main
References
Numerical
Methods for Differential Equations, M.A. Celia& W.G. Gray, 1992
Fundamentals
of Numerical Reservoir Simulation, D.W. Peacman, 1977
Numerical
Recipes, W.H. Press, B.P. Flannery, S.A. Teukdsky, and W.T. Vetterling, 1986
Further
References
Computational
Hydraulics, M.B. Abbott, A.W. Minnes, 1998
Numerical
Modeling of Streams, K. Vestergaard, 1989
Elements
of Computational Hydraulics, C.G. Koutitas, 1983
Practical
Aspects of Computational River Hydraulics, J.A. Cunge, F.M. Holly, A. Verwey,
1980
Finite Element
Simulation in Surface and Subsurface Hydrology, G.F. Pinder & W.G. Gray,
1977
Numerical
Solution of Partial Differential Equations: Finite Difference Methods, G.D.
Smith, 1985
Links and
Groundwater Hydraulics
and Contaminant Transport
Ataie-Ashtiani, B., Lockington, D.A., and Volker, R.E., Truncation
errors in finite difference models for solute transport equation with reaction
term, Journal of Contaminant Hydrology, 35:4, 409-428, 1999. [PDF]
Ataie-Ashtiani, B.,
Ataie-Ashtiani, B.,
Ataie-Ashtiani, B., Volker, R.E. and Lockington, D.A., Numerical and experimental
study of seepage in unconfined aquifers with a periodic boundary condition,
Journal of Hydrology, 222:1-4, 165-184, 1999. [PDF]
Ataie-Ashtiani, B., A.
Najafi Jilani, A Higher-order Boussinesq-type Model with Moving Bottom
Boundary: Applications to Submarine Landslide Tsunami Waves, International
Journal for Numerical Methods in Fluids, Volume 53, Issue 6 , Pages
1019-1048, 2007. [PDF]
Ataie-Ashtiani, B., G. Shobeiry, L. Farhadi, Modified
Incompressible SPH method for simulating free surface problems, Fluid
Dynamics Research,Volume Volume 40, issue 9, Pages 637- 661, September
2008. [PDF]
Ataie-Ashtiani, B., L. Farhadi, Stable Moving Particle
Semi-Implicit Method for Free Surface Flows, Fluid Dynamics Research,Volume
38, issue 4, Pages 241- 256, March 2006. [PDF]
Ataie-Ashtiani, B., G. Shobeiry, Numerical simulation of
landslide impulsive waves by Modified Smooth Particle
Hydrodynamics, International Journal for Numerical Methods in Fluids,
Volume 56, Issue 2 , Pages 209–232, January 2008. [PDF]
Ataie-Ashtiani, B., MODSHARP: Regional-Scale Numerical Model for
Quantifying Groundwater Flux and Contaminant Discharge into the Coastal Zone, Environmental
Modelling & Software, 22 (2007), 1307-1315. [PDF]
Projects :
September 2008